We give a novel proof of the existence of Nash equilibria in all finite games without using fixed point theorems or path following arguments. Our approach relies on a new notion i...
Noah D. Stein, Pablo A. Parrilo, Asuman E. Ozdagla...
In this paper, we show how to extend the argument due to Bonet, Pitassi and Raz to show that bounded-depth Frege proofs do not have feasible interpolation, assuming that factoring...
Maria Luisa Bonet, Carlos Domingo, Ricard Gavald&a...
We describe Nonnegative Double Singular Value Decomposition (NNDSVD), a new method designed to enhance the initialization stage of nonnegative matrix factorization (NMF). NNDSVD c...
We present algorithms that compute the linear and quadratic factors of supersparse (lacunary) bivariate polynomials over the rational numbers in polynomial-time in the input size....
Binary factor analysis (BFA, also known as Boolean Factor Analysis) is a nonhierarchical analysis of binary data, based on reduction of binary space dimension. It allows us to find...